Goal:
  
  __p2 : Prop
  __p1 : Prop
  __x6 : Z
  __x5 : Z
  __x4 : Z
  __x3 : Z
  __x2 : Z
  __x1 : Z
  __wit := [ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 4)
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 3)
                    (RingMicromega.PsatzIn Z 0))) ZMicromega.DoneProof;
            ZMicromega.RatProof
              (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 4)
                 (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 2)
                    (RingMicromega.PsatzAdd (RingMicromega.PsatzIn Z 1)
                       (RingMicromega.PsatzIn Z 0)))) ZMicromega.DoneProof]
        : list ZMicromega.ZArithProof
  __varmap := VarMap.Branch
                (VarMap.Branch
                   (VarMap.Branch (VarMap.Elt __x6) __x6 VarMap.Empty) __x2
                   VarMap.Empty) __x1
                (VarMap.Branch (VarMap.Elt __x4) __x3 (VarMap.Elt __x5))
           : VarMap.t Z
  __ff := Tauto.IMPL
            (Tauto.OR
               (Tauto.AND (Tauto.X Tauto.isProp __p1)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 2;
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs :=
                         EnvRing.PEsub
                           (EnvRing.PEsub (EnvRing.PEX 5) (EnvRing.PEX 3))
                           (EnvRing.PEX 8)
                     |} tt))
               (Tauto.AND (Tauto.X Tauto.isProp __p2)
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs := EnvRing.PEX 2;
                       RingMicromega.Fop := RingMicromega.OpEq;
                       RingMicromega.Frhs := EnvRing.PEc 0
                     |} tt))) None
            (Tauto.IMPL
               (Tauto.A Tauto.isProp
                  {|
                    RingMicromega.Flhs :=
                      EnvRing.PEadd (EnvRing.PEX 3) (EnvRing.PEX 1);
                    RingMicromega.Fop := RingMicromega.OpLe;
                    RingMicromega.Frhs := EnvRing.PEc 0
                  |} tt) None
               (Tauto.IMPL
                  (Tauto.A Tauto.isProp
                     {|
                       RingMicromega.Flhs :=
                         EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 5);
                       RingMicromega.Fop := RingMicromega.OpLe;
                       RingMicromega.Frhs := EnvRing.PEX 7
                     |} tt) None
                  (Tauto.IMPL
                     (Tauto.A Tauto.isProp
                        {|
                          RingMicromega.Flhs := EnvRing.PEX 7;
                          RingMicromega.Fop := RingMicromega.OpLe;
                          RingMicromega.Frhs := EnvRing.PEX 8
                        |} tt) None
                     (Tauto.A Tauto.isProp
                        {|
                          RingMicromega.Flhs :=
                            EnvRing.PEadd
                              (EnvRing.PEadd (EnvRing.PEX 1) (EnvRing.PEX 2))
                              (EnvRing.PEX 3);
                          RingMicromega.Fop := RingMicromega.OpLe;
                          RingMicromega.Frhs := EnvRing.PEc 0
                        |} tt))))
       : Tauto.BFormula (RingMicromega.Formula Z) Tauto.isProp
  ============================
   (__p1 /\ __x2 = __x4 - __x3 - __x6 \/ __p2 /\ __x2 = 0 ->
    __x3 + __x1 <= 0 ->
    __x1 + __x4 <= __x5 -> __x5 <= __x6 -> __x1 + __x2 + __x3 <= 0)


DEBUG:Going to execute:
exact
(ZMicromega.ZTautoChecker_sound __ff __wit
   (eq_refl <: ZMicromega.ZTautoChecker __ff __wit = true)
   (VarMap.find 0 __varmap))